Optical system for non-flexible endoscopes

ABSTRACT

A relay lens system used in an observation optical system which is to be disposed in an insert section is disclosed. The relay lens system comprises a plurality of relay lens units at least one of which allows longitudinal chromatic aberration to remain in an undercorrected tendency and at least another of which allows longitudinal chromatic aberration to remain in an overcorrected tendency, thereby correcting longitudinal chromatic aberration favorably in the relay lens system as a whole.

This is a continuation of Application No. 08/733,916, filed Oct. 18, 1996, now U.S. Pat. No. 5,933,275.

BACKGROUND OF THE INVENTION

a) Field of the Invention

The present invention relates to an optical system for non-flexible endoscopes and more specifically a relay lens system for non-flexible endoscopes.

b) Description of the Prior Art

A non-flexible endoscope ordinarily has a composition such as that shown in FIG. 1, consists of a non-flexible insert section 1 which is elongated for insertion into cavities of living bodies or the like, and a grip section 2 which is located outside the cavities and held by an operator's hand or a non-flexible endoscope holder. An observation optical system which allows observation of an object located in a cavity is disposed so as to extend from the insert section 1 to the grip section 2. A portion of the observation optical system which is disposed in the insert section 1 consists of an objective lens system O disposed on a side of a distal end and serves for forming a real image of an object, and a relay lens system R for relaying the image formed by the objective lens system to a portion of the optical system disposed in the grip section. The objective lens system and the relay lens system are disposed coaxially in an optical system holding tube 3 which is accommodated in the insert section 1. A portion of the optical system disposed in the grip section comprises an eyepiece system E which allows observation of an image of the object which is relayed by the relay lens system. Further, a video camera for non-flexible endoscopes is disposed on an eyepiece mount for allowing observation of the image of the object on a TV monitor since video observation is indispensable for surgical operations with a non-flexible endoscope.

A relay lens system which is to be used with such a non-flexible endoscope or the like is configured to relay an image a plurality of times. A module used for relaying an image for a single cycle distance through the relay lens system will hereinafter be referred to as a relay lens unit R1, R2 or R3.

A lens system disclosed by Japanese Patent Kokoku Publication No. Sho 49-5993 is known as a conventional example of such a relay lens system for non-flexible endoscopes. A conventional relay lens system, such as the conventional example mentioned above, is usually configured to relay an image a plurality of times using a plurality of relay lens units which have the same composition. For minimizing the amounts of aberrations that are produced by the relay lens system as a whole, it is necessary to correct aberrations independently in each of the relay lens units. For this reason, each relay lens unit mostly comprises a negative lens element. In such a case, however, there is posed a problem that the relay lens unit requires a large number of lens elements and has a high manufacturing cost for the a relay lens system.

FIGS. 2A, 2B and 2C show conventional examples wherein negative lens elements are used in relay lens units for correcting longitudinal chromatic aberration. FIG. 2A shows the conventional example disclosed by the above-mentioned Japanese Patent Kokoku Publication No. Sho 49-5993 wherein negative lens elements which have a relatively high refractive index and a strong dispersing power are disposed in the middle between two rod-like cemented lens components so that spherical aberration is corrected by cemented surfaces have a negative power and longitudinal chromatic aberration is corrected by the strong dispersing power of the negative lens elements. This conventional example requires at least four lens elements for composing a relay lens unit, or lens elements numbering as many as 12 for relaying an image three times. When the rod-like lens element of the relay lens unit is divided into thin plano-convex lens elements and a rod-like lens element having planar surfaces on both sides, as shown in FIG. 2B, taking surface eccentricies introduced during manufacturing into consideration, it will be required to use as many as eight lens elements for composing a relay lens unit, thereby stupendously enhancing the manufacturing cost for the relay lens system. Apart from this example, at least four lens elements are required for favorably correcting longitudinal chromatic aberration with a relay lens unit which includes a rod-like lens element.

As an example wherein longitudinal chromatic aberration is not corrected in a relay lens unit, there is known a lens system disclosed by U.S. Pat. No. 4,784,118. This conventional example has a composition shown in FIG. 2C wherein a relay lens unit is composed of lens elements in an extremely small number of 2. However, this conventional example wherein longitudinal chromatic aberration is not corrected in the relay lens unit can hardly correct longitudinal chromatic aberration in the relay lens system as a whole, thereby being incapable of providing good quality images.

As other conventional examples wherein longitudinal chromatic aberration is not corrected in relay lens units, there are known lens systems which use gradient index lens elements. A relay lens system disclosed by Japanese Patent Kokai Publication No. Sho 50-68349, for example, is configured so that longitudinal chromatic aberration produced by a gradient index lens element used in a relay lens unit is cancelled by another relay lens unit disposed on a side of an eyepiece system. However, a relay lens system comprising a gradient index lens element can hardly be manufactured so as to have a small outside diameter and such a relay lens system is unusable with non-flexible endoscopes which have small diameters, or is applicable only within a limited range. For configuring a relay lens system which is usable commonly with a variety of non-flexible endoscopes, it is therefore necessary to use optical elements which are obtained by polishing or shaping homogenous glass materials.

Further, the above-mentioned relay lens unit which is disposed on the side of the eyepiece system cannot be accommodated in the optical system holding tube used in the insert section and makes no contribution at all to extension of an image relaying distance in the insert section. It is therefore desirable that all lens elements used for composing a relay lens system have outside diameters which can be accommodated in the optical system holding tube.

SUMMARY OF THE INVENTION

A primary object of the present invention is to provide a relay optical system for non-flexible endoscopes which has a wide range of application, can be manufactured at a low cost and has longitudinal chromatic aberration favorably corrected in the relay optical system as a whole.

The relay optical system for non-flexible endoscopes according to the present invention comprises an observation optical system which is disposed in an insert section, and composed, in order from a side of a distal end, of an objective lens system and a relay lens system. The relay lens system comprises a plurality of relay lens units, at least one of which allows longitudinal chromatic aberration to remain in an undercorrected tendency, and at least another of which allows longitudinal chromatic aberration to remain in an overcorrected tendency, and is configured to correct longitudinal chromatic aberration favorably in the relay lens system as a whole by cancelling the undercorrected longitudinal chromatic aberration to the overcorrected longitudinal chromatic aberration with each other.

Speaking more concretely, the observation optical system of the relay optical system for non-flexible endoscopes according to the present invention which is disposed in the insert section is composed, in order from the side of the distal end, of an objective lens system and a relay lens system. The relay lens system is composed only of optical elements made of homogenous media and comprises a plurality of relay lens units, at least one of which has a composition comprising no negative lens element (composed only of positive lens components and lens components having no refracting power) and allows longitudinal chromatic aberration to remain in an undercorrected tendency, whereas at least another one of which has a composition comprising negative lens elements and allows longitudinal chromatic aberration to remain in an overcorrected tendency, whereby the undercorrected longitudinal chromatic aberration and the overcorrected longitudinal chromatic aberration are cancelled with each other.

In the relay lens system according to the present invention, a simple composition which does not correct longitudinal chromatic aberration is selected for some of the relay lens units for reducing the number of lens elements used for composing the relay lens system and a composition for overcorrecting longitudinal chromatic aberration is selected for the other lens units for correcting longitudinal chromatic aberration favorably in the relay lens system as a whole. In addition, the relay lens system according to the present invention is configured on assumptions that it is applied to non-flexible endoscopes having all specifications, that it is composed only of optical elements made of homogenous media and that all lens elements of the relay lens system are to be accommodated in an optical system holding tube.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a sectional view illustrating a fundamental composition of an observation optical system for non-flexible endoscopes;

FIGS. 2A, 2B and 2C show sectional views illustrating compositions of conventional relay lens units;

FIGS. 3 through 9 show sectional views illustrating compositions of first through seventh embodiments of the relay lens system according to the present invention;

FIG. 10 shows a sectional view illustrating a composition of an optical system wherein the first embodiment of the present invention is combined with an objective lens system;

FIGS. 11A, 11B and 11C show sectional views illustrating compositions of rod-like lens components which are to be used in the relay lens system according to the present invention; and

FIGS. 12A, 12B and 12C show sectional views exemplifying arrangements of the relay lens units in the relay lens system according to the present invention.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

FIG. 3 shows a sectional view illustrating a composition of a first embodiment of the relay lens system of the optical system for non-flexible endoscopes. The relay lens system is composed, in order from the object side (or from a side of an image of an object I formed by an objective lens system which is not shown but located on the left side in the drawing) of a relay lens unit A which forms a primary image I₁ by relaying the image of the object I, a relay lens unit A which formes a secondary image I₂ by relaying the primary image I₁ and a relay lens unit B which forms a final image I_(n) by relaying the secondary image I₂.

The relay lens system preferred as the first embodiment shown in FIG. 3 has numerical data which is listed below:

    ______________________________________                                         First Embodiment                                                               ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 4.0000                                                               r.sub.1 = 22.8851                                                              d.sub.1 = 48.0000                                                                             n.sub.1 = 1.69680                                                                           v.sub.1 = 55.53                                    r.sub.2 = -22.8851                                                             d.sub.2 = 8.0000                                                               r.sub.3 = 22.8851                                                              d.sub.3 = 48.0000                                                                             n.sub.2 = 1.69680                                                                           v.sub.2 = 55.53                                    r.sub.4 = -22.8851                                                             d.sub.4 = 4.0000                                                               r.sub.5 = ∞                                                              d.sub.5 = 4.0000                                                               r.sub.6 = 22.8851                                                              d.sub.6 = 48.0000                                                                             n.sub.3 = 1.69680                                                                           v.sub.3 = 55.53                                    r.sub.7 = -22.8851                                                             d.sub.7 = 8.0000                                                               r.sub.8 = 22.8851                                                              d.sub.8 = 48.0000                                                                             n.sub.4 = 1.69680                                                                           v.sub.4 = 55.53                                    r.sub.9 = -22.8851                                                             d.sub.9 = 4.0000                                                               r.sub.10 = ∞                                                             d.sub.10 = 4.0000                                                              r.sub.11 = 20.5000                                                             d.sub.11 = 43.3080                                                                            n.sub.5 = 1.65160                                                                           v.sub.5 = 58.52                                    r.sub.12 = -7.6466                                                             d.sub.12 = 1.0000                                                                             n.sub.6 = 1.78472                                                                           v.sub.6 = 25.71                                    r.sub.13 = -16.1743                                                            d.sub.13 = 8.0000                                                              r.sub.14 = 16.1743                                                             d.sub.14 = 1.0000                                                                             n.sub.7 = 1.78472                                                                           v.sub.7 = 25.71                                    r.sub.15 = 7.6466                                                              d.sub.15 = 43.3080                                                                            n.sub.8 = 1.65160                                                                           v.sub.8 = 58.52                                    r.sub.16 = -20.5000                                                            d.sub.16 = 4.0000                                                              r.sub.17 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height (mm) 2.18, NA 0.101, effective diameter of lens system (mm) 5.8, total length (mm) (from object to be observed to final image) 328.62, entrance pupil ∞, exit pupil ∞

wherein the reference symbols r₁, r₂, . . . represent radii of curvature on surfaces of respective lens elements, the reference symbols d₁, d₂, . . . designate thicknesses of the respective lens elements and airspaces reserved therebetween, the reference symbols n₁, n₂, . . . . denote refractive indices of the respective lens elements, and the reference symbols ν₁, ν₂, . . . represent Abbe's numbers of the respective lens elements. Further, the reference symbol r₀ designates an image of an object formed by an objective lens system and the reference symbol d₀ denotes a distance as measured from the image of the object I to the first surface r₁ of the relay lens system.

Two relay lens units A disposed in the relay lens system preferred as the first embodiment shown in FIG. 3 have the same composition, or are composed of two biconvex rod-like lens components of four lens elements (lens element r₁ ˜r₂, lens element r₃ ˜r₄, lens element r₆ ˜r₇ and lens element r₈ ˜r₉) which are disposed symmetrically with regard to a center and comprises no negative lens element (consists only of positive lens elements). In the relay lens units A, all convex surfaces have the same radius of curvature. Further, relay lens unit B is composed of two biconvex cemented doublets (lens component r₁₁ ˜r₁₃ and lens component r₁₄ ˜r₁₆) which are disposed symmetrically with regard to a center. The relay lens unit B comprises negative lens elements. Speaking concretely, the two biconvex lens components are composed of two biconvex lens elements (lens element r₁₁ ˜r₁₂ and lens element r₁₅ ˜r₁₆) and negative meniscus lens elements (lens element r₁₂ ˜r₁₃ and lens element r₁₄ ˜r₁₅) which are cemented to the rod-like lens elements on the side of the center.

In the relay lens unit B, the meniscus lens elements have a refractive index higher than that of the biconvex rod-like lens elements and a dispersing power stronger than that of the biconvex rod-like lens elements.

The relay lens system as a whole preferred as the first embodiment comprises eight lens elements, or is composed of a small number lens elements for a relay lens system for relaying an image three times. This merit is obtained owing to the fact that the relay lens system uses two relay lens units A which comprises no negative lens element and share no burden for correction of longitudinal chromatic aberration.

Description will be made of correction of longitudinal chromatic aberration in the first embodiment. For longitudinal chromatic aberration listed in the following numerical data of the first embodiment, the d line was taken as the standard:

    ______________________________________                                                            C-line                                                                               F-line                                                ______________________________________                                         In relay lens unit A 0.186   -0.417                                            In relay lens unit B -0.275    0.787                                           In relay lens system as a whole                                                                     0.097   -0.047                                            In three relay lens units A                                                                         0.558   -1.252                                            ______________________________________                                    

In the first embodiment, the relay lens unit A, which comprises no negative lens element functioning to correct longitudinal chromatic aberration, tends to under-correct longitudinal chromatic aberration. The relay lens unit B allows longitudinal chromatic aberration to remain in an amount nearly twice as large as that allowed to remain by the relay lens unit A. Accordingly, longitudinal chromatic aberration produced by the two relay lens units A is cancelled by longitudinal chromatic aberration produced in an opposite direction by the relay lens unit B. Accordingly, longitudinal chromatic aberration is corrected favorably in the relay lens system as a whole preferred as the first embodiment. Each of the values mentioned on the undermost line in the numerical data listed above represents longitudinal chromatic aberration that is produced in a relay lens system composed of three relay lens units A. Such a relay lens system composed only of the relay lens units A will produce remarkable longitudinal chromatic aberration and be unusable in practice.

In the first embodiment, spherical aberration is also cancelled by combining the relay lens units A with the relay lens unit B for cancellation. The relay lens units A, which have no refracting surface for correcting spherical aberration in an opposite direction, produces spherical aberration in an undercorrected tendency. In contrast, the relay lens unit B which has the cemented surfaces in the vicinities of the center produces spherical aberration in an overcorrected tendency. Accordingly, spherical aberration is favorably corrected by cancelling spherical aberration produced by the two relay lens units A with spherical aberration produced by the relay lens unit B. Also in other embodiments which are described subsequently, spherical aberration is also cancelled.

Though the relay lens units A allow aberration to remain in the relay lens system according to the present invention as described above, it is desirable, for lessening the burden imposed on the relay lens unit B for aberation corrections, to configure the relay lens units A so as to allow aberrations to remain in smaller amounts. For this reason, it is desirable to select a glass material which has a high refractive index and a weak dispersing power for the two biconvex lens elements to be used as the relay lens unit A. The first embodiment is configured on an assumption that the biconvex rod-like lens elements are to be made of a lanthanum crown glass material.

In FIG. 3, and the numerical data of the embodiment, the reference symbols r₅, r₁₀ and r₁₇ represent a primary image I₁, a secondary image I₂ and a final image I_(n), respectively.

A combination of the relay lens system preferred as the first embodiment and an objective lens system will now be described. This objective lens system has a composition illustrated in FIG. 10 and numerical data listed below:

    ______________________________________                                         R.sub.0 = ∞                                                              D.sub.0 = 30.0000                                                              R.sub.1 = ∞                                                              D.sub.1 = 0.4000                                                                             N.sub.1 = 1.76900                                                                            V.sub.1 = 64.15                                    R.sub.2 = ∞                                                              D.sub.2 = 0.2000                                                               R.sub.3 = 16.5652 (aspherical surface)                                         D.sub.3 = 1.3000                                                                             N.sub.2 = 1.78472                                                                            V.sub.2 = 25.71                                    R.sub.4 = ∞                                                              D.sub.4 = 0.4000                                                                             N.sub.3 = 1.58144                                                                            V.sub.3 = 40.75                                    R.sub.5 = 1.2000                                                               D.sub.5 = 0.8000                                                               R.sub.6 = ∞                                                              D.sub.6 = 2.5637                                                                             N.sub.4 = 1.80610                                                                            V.sub.4 = 40.95                                    R.sub.7 = ∞                                                              D.sub.7 = 6.7963                                                                             N.sub.5 = 1.80610                                                                            V.sub.5 = 40.95                                    R.sub.8 = -4.3210                                                              D.sub.8 = 0.3000                                                               R.sub.9 = 8.2920                                                               D.sub.9 = 3.0000                                                                             N.sub.6 = 1.60311                                                                            V.sub.6 = 60.70                                    R.sub.10 = -3.1560                                                             D.sub.10 = 1.0000                                                                            N.sub.7 = 1.84666                                                                            V.sub.7 = 23.89                                    R.sub.11 = -13.8440                                                            D.sub.11 = 2.8300                                                              R.sub.12 = -2.7200                                                             D.sub.12 = 1.0000                                                                            N.sub.8 = 1.58144                                                                            V.sub.8 = 40.75                                    R.sub.13 = ∞                                                             D.sub.13 = 2.3000                                                                            N.sub.9 = 1.60311                                                                            V.sub.9 = 60.70                                    R.sub.14 = -3.9830                                                             D.sub.14 = 2.9700                                                              R.sub.15 = ∞                                                             ______________________________________                                    

aspherical surface coefficients A₄ =5.8044×10⁻³, A₆ =-3.7284×10⁻⁴ image height 2.18 mm, F number 4.967, field angle 67.28°, exit pupil ∞

wherein the reference symbols R₁, R₂, . . . represent radii of curvature on surfaces of respective lens elements, the reference symbols D₁, D₂, . . . designate thicknesses of the respective lens elements and airspaces reserved therebetween, the reference symbols N₁, N₂, . . . denote refractive indices of the respective lens elements, and the reference symbols V₁, V₂, . . . represent Abbe's numbers of the respective lens elements. Further, the reference symbol R₀ designates an object point, the reference symbol D₀ denotes a distance as measured from the object point to a first surface of the objective lens system and the reference symbol R₁₅ represents a location of an image of an object formed by the objective lens system.

The surface R₃ of the objective lens system is configured as an aspherical surface which has a shape expressed by the following formula: ##EQU1## wherein a direction along an optical axis is taken as the x axis, a direction perpendicular to the optical axis is taken as the y axis, the reference symbol R represents a radius of curvature on a reference sphere of the aspherical surface, and the reference symbols A₄ and A₆ designate aspherical surface coefficients.

In the relay lens system preferred as the first embodiment, longitudinal chromatic aberration and spherical aberration are corrected favorably, but curvature of field and astigmatism are not corrected sufficiently, or remain in an undercorrected tendency. For this reason, the objective lens system produces curvature of field and astigmatism in an over-corrected tendency for correcting curvature of field and astigmatism favorably in the combination optical system as a whole.

Now, description will be made of second through seventh embodiments.

The second through seventh embodiments have compositions illustrated in FIGS. 4 through 9 respectively and numerical data listed below:

    ______________________________________                                         Second Embodiment                                                              ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 4.0000                                                               r.sub.1 = 22.8851                                                              d.sub.1 = 48.0000                                                                             n.sub.1 = 1.69680                                                                           v.sub.1 = 55.53                                    r.sub.2 = -22.8851                                                             d.sub.2 = 8.0000                                                               r.sub.3 = 22.8851                                                              d.sub.3 = 48.0000                                                                             n.sub.2 = 1.69680                                                                           v.sub.2 = 55.53                                    r.sub.4 = -22.8851                                                             d.sub.4 = 4.0000                                                               r.sub.5 = ∞                                                              d.sub.5 = 4.0000                                                               r.sub.6 = 22.8851                                                              d.sub.6 = 48.0000                                                                             n.sub.3 = 1.69680                                                                           v.sub.3 = 55.53                                    r.sub.7 = -22.8851                                                             d.sub.7 = 8.0000                                                               r.sub.8 = 22.8851                                                              d.sub.8 = 48.0000                                                                             n.sub.4 = 1.69680                                                                           v.sub.4 = 55.53                                    r.sub.9 = -22.8851                                                             d.sub.9 = 4.0000                                                               r.sub.10 = ∞                                                             d.sub.10 = 4.0000                                                              r.sub.11 = 10.3460                                                             d.sub.11 = 2.0000                                                                             n.sub.5 = 1.88300                                                                           v.sub.5 = 40.78                                    r.sub.12 = 4.3021                                                              d.sub.12 = 42.0000                                                                            n.sub.6 = 1.65160                                                                           v.sub.6 = 58.52                                    r.sub.13 = -7.5577                                                             d.sub.13 = 1.0000                                                                             n.sub.7 = 1.75520                                                                           v.sub.7 = 27.51                                    r.sub.14 = -16.7052                                                            d.sub.14 = 1.0000                                                              r.sub.15 = 16.7052                                                             d.sub.15 = 1.0000                                                                             n.sub.8 = 1.75520                                                                           v.sub.8 = 27.51                                    r.sub.16 = 7.5577                                                              d.sub.16 = 42.0000                                                                            n.sub.9 = 1.65160                                                                           v.sub.9 = 58.52                                    r.sub.17 = -4.3021                                                             d.sub.17 = 2.0000                                                                             n.sub.10 = 1.88300                                                                          v.sub.10 = 40.78                                   r.sub.18 = -10.3460                                                            d.sub.18 = 4.0000                                                              r.sub.19 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height 2.18, NA 0.101, effective diameter of lens system 5.8, total length 323, entrance pupil ∞, exit pupil

    ______________________________________                                         Third Embodiment                                                               ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 4.0000                                                               r.sub.1 = 22.8851                                                              d.sub.1 = 48.0000                                                                             n.sub.1 = 1.69680                                                                           v.sub.1 = 55.53                                    r.sub.2 = -22.8851                                                             d.sub.2 = 8.0000                                                               r.sub.3 = 22.8851                                                              d.sub.3 = 48.0000                                                                             n.sub.2 = 1.69680                                                                           v.sub.2 = 55.53                                    r.sub.4 = -22.8851                                                             d.sub.4 = 4.0000                                                               r.sub.5 = ∞                                                              d.sub.5 = 4.0000                                                               r.sub.6 = 22.8851                                                              d.sub.6 = 48.0000                                                                             n.sub.3 = 1.69680                                                                           v.sub.3 = 55.53                                    r.sub.7 = -22.8851                                                             d.sub.7 = 8.0000                                                               r.sub.8 = 22.8851                                                              d.sub.8 = 48.0000                                                                             n.sub.4 = 1.69680                                                                           v.sub.4 = 55.53                                    r.sub.9 = -22.8851                                                             d.sub.9 = 4.0000                                                               r.sub.10 = ∞                                                             d.sub.10 = 4.0000                                                              r.sub.11 = 43.6995                                                             d.sub.11 = 5.0000                                                                             n.sub.5 = 1.88300                                                                           v.sub.5 = 40.78                                    r.sub.12 = -6.5907                                                             d.sub.12 = 1.0000                                                              r.sub.13 = -4.8021                                                             d.sub.13 = 2.0000                                                                             n.sub.6 = 1.69895                                                                           v.sub.6 = 30.12                                    r.sub.14 = ∞                                                             d.sub.14 = 32.0000                                                                            n.sub.7 = 1.58913                                                                           v.sub.7 = 61.18                                    r.sub.15 = -7.4230                                                             d.sub.15 = 1.0000                                                                             n.sub.8 = 1.78472                                                                           v.sub.8 = 25.71                                    r.sub.16 = -13.0310                                                            d.sub.16 = 1.0000                                                              r.sub.17 = 13.0310                                                             d.sub.17 = 1.0000                                                                             n.sub.9 = 1.78472                                                                           v.sub.9 = 25.71                                    r.sub.18 = 7.4230                                                              d.sub.18 = 32.0000                                                                            n.sub.10 = 1.58913                                                                          v.sub.10 = 61.18                                   r.sub.19 = ∞                                                             d.sub.19 = 2.0000                                                                             n.sub.11 = 1.69895                                                                          v.sub.11 = 30.12                                   r.sub.20 = 4.8021                                                              d.sub.20 = 1.0000                                                              r.sub.21 = 6.5907                                                              d.sub.21 = 5.0000                                                                             n.sub.12 = 1.88300                                                                          v.sub.12 = 40.78                                   r.sub.22 = -43.5996                                                            d.sub.22 = 4.0000                                                              r.sub.23 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height 2.18, NA 0.1, effective diameter of lens system 5.8, total length 315, entrance pupil ∞, exit pupil

    ______________________________________                                         Fourth Embodiment                                                              ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 4.0000                                                               r.sub.1 = 18.9290                                                              d.sub.1 = 43.7000                                                                             n.sub.1 = 1.62004                                                                           v.sub.1 = 30.26                                    r.sub.2 = ∞                                                              d.sub.2 = 2.6570                                                               r.sub.3 = 30.2291                                                              d.sub.3 = 3.0000                                                                              n.sub.2 = 1.88300                                                                           v.sub.2 = 40.78                                    r.sub.4 = -30.2291                                                             d.sub.4 = 2.6570                                                               r.sub.5 = ∞                                                              d.sub.5 = 43.7000                                                                             n.sub.3 = 1.62004                                                                           v.sub.3 = 36.26                                    r.sub.6 = -18.9290                                                             d.sub.6 = 4.0000                                                               r.sub.7 = ∞                                                              d.sub.7 = 4.0000                                                               r.sub.8 = 18.9290                                                              d.sub.8 = 43.7000                                                                             n.sub.4 = 1.62004                                                                           v.sub.4 = 36.26                                    r.sub.9 = ∞                                                              d.sub.9 = 2.6570                                                               r.sub.10 = 30.2291                                                             d.sub.10 = 3.0000                                                                             n.sub.5 = 1.88300                                                                           v.sub.5 = 40.78                                    r.sub.11 = -30.2291                                                            d.sub.11 = 2.6570                                                              r.sub.12 = ∞                                                             d.sub.12 = 43.7000                                                                            n.sub.6 = 1.62004                                                                           v.sub.6 = 36.26                                    r.sub.13 = -18.9290                                                            d.sub.13 = 4.0000                                                              r.sub.14 = ∞                                                             d.sub.14 = 4.0000                                                              r.sub.15 = 18.9290                                                             d.sub.15 = 43.7000                                                                            n.sub.7 = 1.62004                                                                           v.sub.7 = 36.26                                    r.sub.16 = ∞                                                             d.sub.16 = 2.0000                                                                             n.sub.8 = 1.56384                                                                           v.sub.8 = 60.70                                    r.sub.17 = -6.3560                                                             d.sub.17 = 1.0000                                                                             n.sub.9 = 1.76182                                                                           v.sub.9 = 26.55                                    r.sub.18 = -12.8029                                                            d.sub.18 = 3.2357                                                              r.sub.19 = 12.8029                                                             d.sub.19 = 1.0000                                                                             n.sub.10 = 1.76182                                                                          v.sub.10 = 26.55                                   r.sub.20 = 6.3560                                                              d.sub.20 = 2.0000                                                                             n.sub.11 = 1.56384                                                                          v.sub.11 = 60.70                                   r.sub.21 = ∞                                                             d.sub.21 = 43.7000                                                                            n.sub.12 = 1.62004                                                                          v.sub.12 = 36.26                                   r.sub.22 = -18.9290                                                            d.sub.22 = 4.0000                                                              r.sub.23 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height 2.18, NA 0.097, effective diameter of lens system 5.8, total length 312.06, entrance pupil ∞, exit pupil

    ______________________________________                                         Fifth Embodiment                                                               ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 4.0000                                                               r.sub.1 = 21.3588                                                              d.sub.1 = 48.0000                                                                             n.sub.1 = 1.69680                                                                           v.sub.1 = 55.53                                    r.sub.2 = -30.0463                                                             d.sub.2 = 1.0000                                                               r.sub.3 = 97.2779                                                              d.sub.3 = 4.0000                                                                              n.sub.2 = 1.69680                                                                           v.sub.2 = 55.53                                    r.sub.4 = -97.2779                                                             d.sub.4 = 1.0000                                                               r.sub.5 = 30.0463                                                              d.sub.5 = 48.0000                                                                             n.sub.3 = 1.69680                                                                           v.sub.3 = 55.53                                    r.sub.6 = -21.3588                                                             d.sub.6 = 4.0000                                                               r.sub.7 = ∞                                                              d.sub.7 = 4.0000                                                               r.sub.8 = 21.3588                                                              d.sub.8 = 48.0000                                                                             n.sub.4 = 1.69680                                                                           v.sub.4 = 55.53                                    r.sub.9 = -30.0463                                                             d.sub.9 = 1.0000                                                               r.sub.10 = 97.2779                                                             d.sub.10 = 4.0000                                                                             n.sub.5 = 1.69680                                                                           v.sub.5 = 55.53                                    r.sub.11 = -97.2779                                                            d.sub.11 = 1.0000                                                              r.sub.12 = 30.0463                                                             d.sub.12 = 48.0000                                                                            n.sub.6 = 1.69680                                                                           v.sub.6 = 55.53                                    r.sub.13 = -21.3588                                                            d.sub.13 = 4.0000                                                              r.sub.14 = ∞                                                             d.sub.14 = 4.0000                                                              r.sub.15 = 20.5000                                                             d.sub.15 = 48.0239                                                                            n.sub.7 = 1.69680                                                                           v.sub.7 = 55.53                                    r.sub.16 = -8.6889                                                             d.sub.16 = 1.0000                                                                             n.sub.8 = 1.78472                                                                           v.sub.8 = 25.71                                    r.sub.17 = -19.8229                                                            d.sub.17 = 1.0000                                                              r.sub.18 = 19.8229                                                             d.sub.18 = 1.0000                                                                             n.sub.9 = 1.78472                                                                           v.sub.9 = 25.71                                    r.sub.19 = 8.6889                                                              d.sub.19 = 48.0239                                                                            n.sub.10 = 1.69680                                                                          v.sub.10 = 55.53                                   r.sub.20 = -20.5000                                                            d.sub.20 = 4.0000                                                              r.sub.21 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height 2.18, NA 0.1, effective diameter of lens system 5.8, total length 327.05, entrance pupil ∞, exit pupil

    ______________________________________                                         Sixth Embodiment                                                               ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 2.0000                                                               r.sub.1 = 11.9420                                                              d.sub.1 = 26.0100                                                                             n.sub.1 = 1.62004                                                                           v.sub.1 = 36.26                                    r.sub.2 = ∞                                                              d.sub.2 = 2.3343                                                               r.sub.3 = 18.2085                                                              d.sub.3 = 3.0000                                                                              n.sub.2 = 1.88300                                                                           v.sub.2 = 40.78                                    r.sub.4 = -18.2085                                                             d.sub.4 = 2.3343                                                               r.sub.5 = ∞                                                              d.sub.5 = 26.0100                                                                             n.sub.3 = 1.62004                                                                           v.sub.3 = 36.26                                    r.sub.6 = -11.9420                                                             d.sub.6 = 2.0000                                                               r.sub.7 = ∞                                                              d.sub.7 = 2.0000                                                               r.sub.8 = 11.9420                                                              d.sub.8 = 26.0100                                                                             n.sub.4 = 1.62004                                                                           v.sub.4 = 36.26                                    r.sub.9 = ∞                                                              d.sub.9 = 2.3343                                                               r.sub.10 = 18.2085                                                             d.sub.10 = 3.0000                                                                             n.sub.5 = 1.88300                                                                           v.sub.5 = 40.78                                    r.sub.11 = -18.2085                                                            d.sub.11 = 2.3343                                                              r.sub.12 = ∞                                                             d.sub.12 = 26.0100                                                                            n.sub.6 = 1.62004                                                                           v.sub.6 = 36.26                                    r.sub.13 = -11.9420                                                            d.sub.13 = 2.0000                                                              r.sub.14 = ∞                                                             d.sub.14 = 2.0000                                                              r.sub.15 = 11.9420                                                             d.sub.15 = 26.0100                                                                            n.sub.7 = 1.62004                                                                           v.sub.7 = 36.26                                    r.sub.16 = ∞                                                             d.sub.16 = 2.3343                                                              r.sub.17 = 18.2085                                                             d.sub.17 = 3.0000                                                                             n.sub.8 = 1.88300                                                                           v.sub.8 = 40.78                                    r.sub.18 = -18.2085                                                            d.sub.18 = 2.3343                                                              r.sub.19 = ∞                                                             d.sub.19 = 26.0100                                                                            n.sub.9 = 1.62004                                                                           v.sub.9 = 36.26                                    r.sub.20 = -11.9420                                                            d.sub.20 = 2.0000                                                              r.sub.21 = ∞                                                             d.sub.21 = 2.0000                                                              r.sub.22 = 11.9420                                                             d.sub.22 = 26.0100                                                                            n.sub.10 = 1.62004                                                                          v.sub.10 = 36.26                                   r.sub.23 = ∞                                                             d.sub.23 = 2.3343                                                              r.sub.24 = 18.2085                                                             d.sub.24 = 3.0000                                                                             n.sub.11 = 1.88300                                                                          v.sub.11 = 40.78                                   r.sub.25 = -18.2085                                                            d.sub.25 = 2.3343                                                              r.sub.26 = ∞                                                             d.sub.26 = 26.0100                                                                            n.sub.12 = 1.62004                                                                          v.sub.12 = 36.26                                   r.sub.27 = -11.9420                                                            d.sub.27 = 2.0000                                                              r.sub.28 = ∞                                                             d.sub.28 = 2.0000                                                              r.sub.29 = 11.9420                                                             d.sub.29 = 26.0100                                                                            n.sub.13 = 1.62004                                                                          v.sub.13 = 36.26                                   r.sub.30 = ∞                                                             d.sub.30 = 2.5000                                                                             n.sub.14 = 1.69680                                                                          v.sub.14 = 55.53                                   r.sub.31 = -3.0905                                                             d.sub.31 = 1.0000                                                                             n.sub.16 = 1.80518                                                                          v.sub.16 = 25.43                                   r.sub.32 = -9.8439                                                             d.sub.32 = 2.2576                                                              r.sub.33 = 9.8439                                                              d.sub.33 = 1.0000                                                                             n.sub.17 = 1.80518                                                                          v.sub.17 = 25.43                                   r.sub.34 = 3.0905                                                              d.sub.34 = 2.5000                                                                             n.sub.18 = 1.69680                                                                          v.sub.18 = 55.53                                   r.sub.35 = ∞                                                             d.sub.35 = 26.0100                                                                            n.sub.19 = 1.62004                                                                          v.sub.19 = 36.26                                   r.sub.36 = -11.9420                                                            d.sub.36 = 2.0000                                                              r.sub.37 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height 1.23, NA 0.083, effective diameter of lens system 3.1, total length 320.03, entrance pupil ∞, exit pupil

    ______________________________________                                         Seventh Embodiment                                                             ______________________________________                                         r.sub.0 = ∞                                                              d.sub.0 = 4.0000                                                               r.sub.1 = 51.1053                                                              d.sub.1 = 3.0000                                                                              n.sub.1 = 1.88300                                                                           v.sub.1 = 40.78                                    r.sub.2 = -51.1053                                                             d.sub.2 = 27.5000                                                              r.sub.3 = 26.3094                                                              d.sub.3 = 3.0000                                                                              n.sub.2 = 1.77250                                                                           v.sub.2 = 49.60                                    r.sub.4 = -26.3094                                                             d.sub.4 = 27.5000                                                              r.sub.5 = 51.1053                                                              d.sub.5 = 3.0000                                                                              n.sub.3 = 1.88300                                                                           v.sub.3 = 40.78                                    r.sub.6 = -51.1053                                                             d.sub.6 = 4.0000                                                               r.sub.7 = ∞                                                              d.sub.7 = 4.0000                                                               r.sub.8 = 51.1053                                                              d.sub.8 = 3.0000                                                                              n.sub.4 = 1.88300                                                                           v.sub.4 = 40.78                                    r.sub.9 = -51.1053                                                             d.sub.9 = 27.5000                                                              r.sub.10 = 26.3094                                                             d.sub.10 = 3.0000                                                                             n.sub.5 = 1.77250                                                                           v.sub.5 = 49.60                                    r.sub.11 = -26.3094                                                            d.sub.11 = 27.5000                                                             r.sub.12 = 51.1053                                                             d.sub.12 = 3.0000                                                                             n.sub.6 = 1.88300                                                                           v.sub.6 = 40.78                                    r.sub.13 = -51.1053                                                            d.sub.13 = 4.0000                                                              r.sub.14 = ∞                                                             d.sub.14 = 4.0000                                                              r.sub.15 = 51.1053                                                             d.sub.15 = 3.0000                                                                             n.sub.7 = 1.88300                                                                           v.sub.7 = 40.78                                    r.sub.16 = -51.1053                                                            d.sub.16 = 25.3913                                                             r.sub.17 = 68.2570                                                             d.sub.17 = 3.0000                                                                             n.sub.8 = 1.58913                                                                           v.sub.8 = 61.18                                    r.sub.18 = -6.9277                                                             d.sub.18 = 1.0000                                                                             n.sub.9 = 1.84666                                                                           v.sub.9 = 23.78                                    r.sub.19 = -14.8299                                                            d.sub.19 = 1.0000                                                              r.sub.20 = 14.8299                                                             d.sub.20 = 1.0000                                                                             n.sub.10 = 1.84666                                                                          v.sub.10 = 23.78                                   r.sub.21 = 6.9277                                                              d.sub.21 = 3.0000                                                                             n.sub.11 = 1.58913                                                                          v.sub.11 = 61.18                                   r.sub.22 = -68.2570                                                            d.sub.22 = 25.3913                                                             r.sub.23 = 51.1053                                                             d.sub.23 = 3.0000                                                                             n.sub.12 = 1.88300                                                                          v.sub.12 = 40.78                                   r.sub.24 = -51.1053                                                            d.sub.24 = 4.0000                                                              r.sub.25 = ∞                                                             ______________________________________                                    

paraxial lateral magnification -1, image height 2.18, NA 0.100, effective diameter of lens system 5.8, total length 217.78, entrance pupil ∞, exit pupil ∞

In the numerical data listed above, the reference symbols r₀ and d₀ represent a location of a primary image I formed by an objective lens system and a distance as measured from the image of the object I to a first surface r₁ of a relay lens system, as in the numerical data of the first embodiment.

In the first through seventh embodiments described above, amounts of longitudinal chromatic aberration (those in the first embodiment are the same as the values already described) are listed below:

    ______________________________________                                                Relay lens unit                                                                          Relay lens unit                                                                            Relay lens system                                        A         B           as a whole                                               C-line                                                                               F-line  C-line  F-line                                                                               C-line                                                                               F-line                                ______________________________________                                         First    0.186   -0.417  -0.275                                                                               0.787 0.097 -0.047                              Embodiment                                                                     Second   0.186   -0.417  -0.266                                                                               0.760 0.106 -0.075                              Embodiment                                                                     Third    0.186   -0.417  -0.248                                                                               0.731 0.124 -0.103                              Embodiment                                                                     Fourth   0.261   -0.598  -0.403                                                                               1.113 0.118 -0.085                              Embodiment                                                                     Fifth    0.184   -0.412  -0.269                                                                               0.782 0.098 -0.042                              Embodiment                                                                     Sixth    0.166   -0.381  -0.530                                                                               1.441 0.134 -0.087                              Embodiment                                                                     Seventh  0.239   -0.672  -0.442                                                                               1.257 0.143 -0.086                              Embodiment                                                                     ______________________________________                                    

Out of the embodiments described above, a relay lens system of the second embodiment has a composition illustrated in FIG. 4. The second embodiment uses relay lens units A which are the same as those used in the first embodiment and a relay lens unit B which is different from that adopted for the first embodiment. Speaking concretely, the relay lens unit B of the second embodiment is composed of two biconvex rod-like triplet components (lens elements r₁₁ ˜r₁₄ and lens elements r₁₅ ˜r₁₈). Each of these biconvex lens components consists of three lens elements: a biconvex lens element (lens element r₁₂ ˜r₁₃ or lens element r₁₆ ˜r₁₇) and negative meniscus lens elements cemented to both sides thereof. The negative meniscus lens elements (lens element r₁₃ ˜r₁₄ and lens element r₁₅ ˜r₁₆) of the two rod-like cemented triplet components which are disposed on sides of a center of the relay lens unit B contribute to correction of longitudinal chromatic aberration and spherical aberration like those used in the first embodiment, whereas the two negative meniscus lens elements (lens element r₁₁ ˜r₁₂ and lens element r₁₇ ˜r₁₈) which are disposed in the vicinities of the images contribute to correction of astigmatism. For correcting aberrations, each of the negative meniscus lens elements is made of a glass material which has a refractive index higher than that of a glass material selected for the biconvex lens element to which the negative meniscus lens element is cemented.

The relay lens unit A tends to undercorrect astigmatism mainly by its refracting surface disposed in the vicinity of the image. For cancelling astigmatism produced by the relay lens unit A with astigmatism having an opposite tendency, an image side cemented surface of the relay lens unit B has a negative power for producing astigmatism in an overcorrected tendency, thereby correcting astigmatism favorably in the relay lens system as a whole.

The reference symbols r₅, r₁₀ and r₁₉ used in the numerical data of the second embodiment represent a primary image I₁, a secondary image I₂ and a final image I_(n), respectively.

The third embodiment is characterized in that it favorably corrects astigmatism and curvature of field, and has a composition illustrated in FIG. 5. For obtaining this characteristic, a relay lens unit B is configured to correct astigmatism and curvature of field. The third embodiment uses relay lens units A, which are the same as those adopted for the first or second embodiment, and the relay lens unit B which is different from that used in the first or second embodiment. Speaking concretely, the relay lens unit B has a composition symmetrical with regard to a center thereof, or is composed, within a range from an image to the center, of a positive lens component (lens element r₁₁ ˜r₁₂ or lens element r₂₁ ˜r₂₂) and a rod-like cemented triplet component (lens component r₁₃ ˜r₁₆ or lens component r₁₇ ˜r₂₀). The rod-like cemented triplet is composed, in order from the image side, of a plano-concave lens element (lens element r₁₃ ˜r₁₄ or lens element r₂₀ ˜r₂₁) having a concave surface on the image side, a plano-convex rod-like lens element (lens element r₁₄ ˜r₁₅ or lens element r₁₈ ˜r₁₉) having a planar surface on the image side and a negative meniscus lens element (r₁₅ ˜r₁₆ or lens element r₁₇ ˜r₁₈)

The relay lens unit B corrects astigmatism with a bending of an air lens formed between the positive lens component disposed on the image side and the rod-like cemented triplet component. Further, curvature of field is corrected with a negative power of the plano-concave lens elements disposed in the rod-like cemented triplet components and a glass material having a low refractive index is selected for these lens elements.

Though the third embodiment uses 12 lens elements which is not as small as the number of lens elements used for composing a relay lens system for three image relaying cycles, the third embodiment is excellent in sufficient and favorable correction of astigmatism and curvature which can hardly be corrected by the conventional relay lens systems, each of which performs three image relaying cycles with lens elements on the order of 12.

In FIG. 5, and the numerical data of the third embodiment, the reference symbols r₅, r₁₀ and r₂₃ represent a primary image I₁, a secondary image I₂ and a final image I_(n), respectively.

The fourth embodiment has a composition illustrated in FIG. 6, wherein rod-like lens elements have no spherical surface in the vicinities of centers of relay lens units for reducing influences due to manufacturing errors of the rod-like lens elements.

In the fourth embodiment, each of the relay lens units A is composed of two plano-convex rod-like lens components having convex surfaces on the image sides (lens element r₁ ˜r₂, lens element r₅ ˜r₆ and lens element r₈ ˜r₉, lens element r₁₂ ˜r₁₃) and biconvex lens components (lens element r₃ ˜r₄ and lens element r₁₀ ˜r₁₁) disposed at a center between the two plano-convex rod like lens components, or has a composition that is symmetrical with regard to a center thereof.

A rod-like lens element which has spherical surfaces poses a problem of surface eccentricities since these surfaces cannot be exactly centered at a working stage. Therefore, the fourth embodiment adopts planar surfaces on the side of the center for avoiding eccentricities of surfaces located in the vicinities of the center of the relay lens units A since eccentricities of these surfaces influence the image quality. The biconvex lens components are disposed between the rod-like lens components for making up for a positive power which is made insufficient by configuring the rod-like lens elements so as to have the plano-convex shape.

A relay lens unit B used in the fourth embodiment is of a type which is basically the same as that of the relay lens unit B used in the first embodiment, but it adopts two biconvex cemented triplet components, each of which is composed of a plano-convex rod-like lens element having a convex surface on the image side (lens element r₁₅ ˜r₁₆ or lens element r₂₁ ˜r₂₂), a plano-convex lens element having a planar surface on the image side (lens element r₁₆ ˜r₁₇ or lens element r₂₀ ˜r₂₁), and a negative meniscus lens element (lens element r₁₇ ˜r₁₈ or lens element r₁₉ ˜r₂₀).

The reference symbols r₇, r₁₄ and r₂₃ used in FIG. 6 and the numerical data represent a primary image I₁, a secondary image I₂ and a final image I_(n), respectively.

The fifth embodiment has a composition illustrated in FIG. 7 and is characterized in that it corrects spherical aberration more favorably than the other embodiments.

In the fifth embodiment, each of relay lens units A is composed of two biconvex rod-like lens elements (lens element r₁ ˜r₂ and lens element r₅ ˜r₆ or lens element r₈ ˜r₉ and lens element r₁₂ ˜r₁₃) and a biconvex lens element (lens element r₃ ˜r₄ or lens element r₁₀ ˜r₁₁) disposed at a center between the two rod-like lens elements. these lens elements are disposed symmetrically with regard to the center. The fifth embodiment uses a relay lens unit B which is the same as that adopted for the first embodiment.

Since the relay lens units A adopted for the fifth embodiment are not configured to correct spherical aberration by producing spherical aberration in an opposite direction, a cemented surface which has a negative power in the relay lens unit B functions to correct spherical aberration favorably in the relay lens system as a whole. If the relay lens units A allow spherical aberration to remain in a large amount, a spherical aberration curve will be remarkably curved even after cancellation of spherical aberration with the relay lens unit B. It is therefore desirable to configure the relay lens units A so as to allow spherical aberration to remain in a small amount.

For reducing an amount of spherical aberration which is allowed to remain by the relay lens units A, the fifth embodiment shares a power among four refracting surfaces disposed at the center and further reduces an amount of residual spherical aberration with bendings of air lenses formed between the two rod-like lens elements and the two convex lens elements. Accordingly, spherical aberration is corrected almost perfectly in the relay lens system as a whole.

The reference symbols r₇, r₁₄ and r₂₁ used in FIG. 7 and the numerical data represent a primary image I₁, a secondary image I₂ and a final image I_(n), respectively.

The sixth embodiment has a composition illustrated in FIG. 8. This embodiment is designed on an assumption that it is used with non-flexible endoscopes having small diameters and characterized in that it has an effective diameter smaller than that of any other embodiments.

The sixth embodiment uses relay lens units A and a relay lens unit B having compositions which are the same as those selected for the fourth embodiment, but is configured for relaying an image five times, which is larger than image relaying cycles of any other embodiment. Therefore, the relay lens unit B must cancel aberrations allowed to remain by four relay lens units A and produces aberrations in more overcorrected tendencies.

The reference symbols r₇, r₁₄, r₂₁, r₂₈ and r₃₇ used in FIG. 8 and the numerical data represent a primary image I₁, a secondary image I₂, a tertiary image I₃, a quaternary image I₄ and a final image I_(n), respectively.

The seventh embodiment has a composition shown in FIG. 9 and is characterized in that it composes a relay lens system using no rod-like lens element.

An N.A. (numerical aperture) of a relay lens system can be enlarged and brightness of the lens system can be improved by using rod-like lens elements. However, rod-like lens elements may degrade image qualities due to manufacturing errors or eccentricities of surfaces thereof. Further, rod-like lens elements pose a problem of image coloring which is caused by internal absorption from the glass materials thereof. A relay lens system can be composed without using rod-like lens elements dependently on specifications of non-flexible endoscopes to be used therewith.

In the seventh embodiment, each of relay lens units A is composed of positive field lens components disposed in the vicinities of front and rear images (lens element r₁ ˜r₂ and lens element r₅ ˜r₆ or lens element r₈ ˜r₉ and lens element r₁₂ ˜r₁₃ ) and a biconvex lens component disposed in the vicinity of a center (lens element r₃ ˜r₄ or lens element r₁₀ ˜r₁₁). These lens components being disposed symmetrically with regard to the center. Further, a relay lens unit B is composed of positive field lens components disposed in the vicinities of the front and rear images (lens element r₁₅ ˜r₁₆ and lens element r₂₃ ˜r₂₄) and positive cemented lens components disposed in the vicinities of a center (lens component r₁₇ ˜r₁₉ and lens component r₂₀ ˜r₂₂). These lens components are arranged symmetrically with regard to the center.

The reference symbols r₇, r₁₄ and r₂₅ used in FIG. 9 and the numerical data represent a primary image I₁, a secondary image I₂ and a final image I_(n) respectively.

It is desirable that the relay lens system according to the present invention uses the relay lens units B in a number smaller than that of the relay lens units A.

Though the relay lens unit A can be composed of a small number of lens elements for simplifying a composition thereof, the relay lens unit B is inevitably composed of a large number of lens element since it bears a burden for correcting aberrations. Since the relay lens unit A is composed of lens elements in a number larger than that of lens elements disposed in the relay lens unit B as described above, it is desirable, for composing a relay lens system of a small number of lens elements, to use the relay lens units A in a number larger than that of the relay lens units B.

For the relay lens unit A to be disposed in the relay lens system according to the present invention, it is desirable to select one of the compositions listed below dependently on specifications of non-flexible endoscopes to be used therewith:

(1) The relay lens unit is composed of two biconvex rod-like lens elements which are disposed symmetrically with regard to a center of the relay lens unit (as shown in FIG. 3, for example).

(2) The relay lens unit is composed of two plano-convex rod-like lens elements having convex surfaces on the sides of images and biconvex lens elements disposed between the plano-convex rod-like lens elements; these lens elements being disposed symmetrically with regard to a center of the relay lens unit (as shown in FIG. 6, for example).

(3) The relay lens unit is composed of two biconvex rod-like lens elements and biconvex lens elements disposed between the biconvex rod-like lens elements; these lens elements being disposed symmetrically with regard to a center of the relay lens unit (as shown in FIG. 7, for example).

(4) The relay lens unit is composed of positive field lens elements disposed in the vicinities of front and rear images, respectively, and biconvex lens elements disposed in the vicinities of a center of the relay lens unit; these lens elements being disposed symmetrically with regard to a center of the relay lens unit (as shown in FIG. 9, for example).

The terms biconvex rod-like lens elements and plano-convex rod-like lens elements mean not only rod-like lens elements but also cemented lens components which have cemented surfaces such as those shown in FIGS. 11A, 11B and 11C. FIG. 11A shows a cemented triplet which consists of a rod-like lens element having planar surfaces on both sides and plano-convex lens elements cemented thereto. FIG. 11B shows a biconvex rod-like cemented doublet which consists of a plano-convex rod-like lens element and a plano-convex lens element cemented to the planar surface of the plano-convex rod-like lens element. FIG. 11C shows a plano-convex rod-like cemented doublet which consists of a rod-like lens element having planar surfaces on both sides and a plano-convex lens element cemented to a side surface of the rod-like lens element. The problem of surface eccentricities due to manufacturing errors which are caused by selecting convex end surfaces for the rod-like lens elements can be solved by selecting the compositions shown in FIGS. 11A, 11B and 11C. Further, it is desirable for correcting aberrations produced by transmittance and convex surfaces of the rod-like lens elements to select glass materials having high transmittance for the rod-like lens elements and use glass materials having high refractive indices for the plano-convex lens elements.

Further, it is desirable that the relay lens unit B comprises at least two negative lens elements which have an Abbe's number not exceeding 40 and are disposed in the vicinities of a center of the lens unit. Since the relay lens unit B must produce longitudinal chromatic aberration in an excessive amount, it must comprise, in the vicinity thereof, a negative lens element which produces longitudinal chromatic aberration in a large amount. Needless to say, this negative lens element has a strong dispersing power and an Abbe's number smaller than a certain level. Further, it is necessary to use at least two negative lens elements since only an insufficient amount of longitudinal chromatic aberration can be corrected with a single negative lens element.

Furthermore, no restriction is imposed on disposing orders of the relay lens units A and the relay lens unit B. Though the relay lens unit B is disposed on a side of a final image formed by the relay lens system in each of the embodiments described above, no difference is produced in optical performance of the relay lens system by disposing the relay lens unit B on the side of the objective lens system or between the relay lens units A as shown in FIG. 12A or FIG. 12B. A plurality of relay lens units B may be disposed in a relay lens system as shown in FIG. 12C.

In the drawings, the reference symbols A and B represent the relay lens unit A and the relay lens unit B.

The relay lens system for non-flexible endoscopes according to the present invention is usable with a variety of non-flexible endoscopes, can be manufactured at a low cost and has sufficiently corrected longitudinal chromatic aberration. 

What is claimed is:
 1. An observation optical system for non-flexible endoscopes which is to be disposed in an elongated insert section of a non-flexible endoscope having said insert section comprising:an objective lens system; and a relay lens system, wherein said relay lens system comprises a plurality of relay lens modules each of which relays a real image on an objective lens side to the opposite side, and each of which comprises plural lens elements, at least one relay lens module of said plurality of relay lens modules produces undercorrected longitudinal chromatic aberration and at least another relay lens module of said plurality of relay lens modules produces overcorrected longitudinal chromatic aberration, and wherein longitudinal chromatic aberration is corrected in said observation optical system as a whole by canceling said undercorrected longitudinal chromatic aberration with said overcorrected longitudinal chromatic aberration.
 2. An observation optical system for non-flexible endoscopes according to claim 1,wherein said relay lens system is gradient index lens element-less, wherein said at least one relay lens module which produces undercorrected longitudinal chromatic aberration negative lens element-less, and wherein said at least another relay lens module which produces overcorrected longitudinal chromatic aberration comprises negative lens elements.
 3. An observation optical system for non-flexible endoscopes according to claim 1, or 2,wherein said relay lens system is accommodated in an optical system holding tube disposed in said insert section.
 4. An observation optical system for non-flexible endoscopes according to claim 1 or 2,wherein said at least one relay lens module which produces undercorrected longitudinal chromatic aberration also produces undercorrected sperical aberration, and wherein said at least another relay lens module which produces overcorrected longitudinal chromatic aberration also produces overcorrected spherical aberration, and wherein spherical aberration is corrected in said observation optical system as a whole by canceling the undercorrected sperical aberration with the overcorrected spherical aberration.
 5. An observation optical system for non-flexible endoscopes according to claim 2, wherein a number of relay lens modules of said plurality of relay lens modules which comprises negative lens elements is less than a number of relay lens modules of said plurality of relay lens modules which is negative lens element-less.
 6. An observation optical system for non-flexible endoscopes according to claim 2,wherein said at least one relay lens module which is negative lens element-less includes two rod-like lens components which are disposed symmetrically on both front and rear sides of a center of said at least one relay lens module.
 7. An observation optical system for non-flexible endoscopes according to claim 2,wherein said at least one relay lens module which is negative lens element-less includes two plano-convex rod-like lens components having convex surfaces on sides of the images and biconvex lens components disposed between said plano-convex rod-like lens components, said lens components of said at least one relay lens module being disposed symmetrically on both front and rear sides of a center of said at least one relay lens module.
 8. An observation optical system for non-flexible endoscopes according to claim 2 or 6, wherein said at least another relay lens module which comprises negative lens elements comprises, in the vicinities of the center of said relay lens module, at least two negative lens elements made of a glass material having an Abbe's number not exceeding
 40. 9. An observation optical system for non-flexible endoscopes according to claim 2, 5, 6 or 7, wherein said at least one relay lens module which is negative lens element-less comprises a powerless optical element. 